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Finding the Fourth Proportional to 550.20, 759.28 and 301.52

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Solution

The fourth proportional to 550.20, 759.28 and 301.52 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 759.28 = 301.52 : x
  2. Step 2: Convert to fraction form
    550.20/759.28 = 301.52/x
  3. Step 3: Cross multiply
    550.20x = 759.28 × 301.52
  4. Step 4: Simplify right side
    550.20x = 228,936.21
  5. Step 5: Solve for x
    x = 228,936.21/550.20
  6. Step 6: Final answer
    x = 416.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.